Like most countries in sub-Saharan Africa, hypertension contributes substantially to morbidity and mortality in Ghana, yet nationally representative studies that examine the odds of becoming hypertensive among Ghanaians are conspicuously missing. We aimed to fill this void in the literature. The data used for analysis came from the first wave of the Study on Global Ageing and Adult Health (SAGE), collected in Ghana from January 2007 to December 2008 by the World Health Organization (WHO). A total of 5573 respondents were sampled for the study. Random-effects C-log-log models were employed in examining socio-economic, lifestyle and psychosocial factors on the odds of becoming hypertensive in Ghana. Separate models were run for male and females. Results indicated there were strong significant associations between socio-economic, lifestyle and psychosocial factors on the likelihood of becoming hypertensive, among Ghanaian men and women. Compared with the poorest, Ghanaians from wealthy households were significantly more likely to be hypertensive. Educated women, as compared with the uneducated, were also more likely to be hypertensive. Ghanaians who engaged in vigorous or intensive activities continuously, for at least 10 minutes, were significantly less likely to be hypertensive, compared to those who did not. Happier men had lower odds of becoming hypertensive, and depressed women had increased odds of reporting they were hypertensive.